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Finding the Fourth Proportional to 334,530.94, 461,648.76 and 181,569.40

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Solution

The fourth proportional to 334,530.94, 461,648.76 and 181,569.40 is: 250,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,530.94 : 461,648.76 = 181,569.40 : x
  2. Step 2: Convert to fraction form
    334,530.94/461,648.76 = 181,569.40/x
  3. Step 3: Cross multiply
    334,530.94x = 461,648.76 × 181,569.40
  4. Step 4: Simplify right side
    334,530.94x = 83,821,288,363.94
  5. Step 5: Solve for x
    x = 83,821,288,363.94/334,530.94
  6. Step 6: Final answer
    x = 250,563.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.